Traversable Casimir Wormholes in D Dimensions

Abstract

In this paper, we study Casimir wormholes in arbitrary spacetime dimensions D. Wormholes require negative energy, and therefore an exotic matter source. Since Casimir energy is negative, it has been speculated as a good candidate to source that objects a long time ago. However only very recently a full solution has been found by Garattini [1]. The author found an appropriate redshift function and proved that in four-dimensional spacetime, the Casimir energy can be a source of traversable wormholes. Soon later Alencar et al have shown, in [2], that this is not true in D = 3 and additional sources must be considered. In this paper, we show that Casimir energy can be a source of the Morris-Thorne wormhole for all spacetime dimensions with D > 3.

Yukawa-Casimir wormholes in f(Q) gravity

“…The field equations assert to conserve the energy momentum tensor with the conformity of specified f (Q) gravity. In the present study we focus to specify the gravitational field equations commanding the static and spherically symmetric solutions [70] to the wormhole geometry.…”

Generalized Ellis-Bronnikov wormholes in asymptotically safe gravity

“…Morris and Thorne showed that for the existence of a traversable wormhole necessarily needs the presence of a matter such that at the throat of the wormhole the tension must exceed the total energy density and this leads a violation of all the energy conditions of the general relativity, and they call this type of matter as "exotic" [3]. The presence of exotic matter has been seen in a wide variety of wormholes [4][5][6][7][8][9][10] and what we can do to try to eliminate this problem is appeal to modified theories in a tentative to construct wormholes without the exigence of exotic matter [11][12][13][14][15][16][17] We can expect that quantum effects in the gravitational field provides the existence of wormholes with non-exotic matter satisfying the energy conditions. The problem then would be how do we describe quantum corrections for gravitational systems.…”

On the traversability of wormhole solutions in asymptotically safe gravity

“…However, wormholes traversability was only studied more than fifty years later by Morris and Thorne [2]. An important feature of wormholes in Einstein's theory of gravity is that it's traversability requires exotic matter [2], being possible to have wormholes with phantom as energy source [3,4] or even Casimir energy [5][6][7][8][9]. Therefore the search for traversable wormholes in modified theories of gravity [10][11][12][13][14][15][16] without the requirement of exotic matter became an intense topic of research in the literature.…”